Transactions of the American Mathematical Society, Volume 64American Mathematical Society., 1948 - Mathematics |
Contents
BELLMAN R On the existence and boundedness of solutions of nonlinear | 21 |
General properties of function rings | 48 |
Rings CX R and spaces vX | 67 |
Copyright | |
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Common terms and phrases
A₁ algebraic solution annulled arbitrary basic set bicompact Boolean algebra C₁ cardinal number Čech closed set cocycle coefficients compact space completely meet-irreducible completely regular space completes the proof condition consider contains continuous converges COROLLARY corresponding countably curve defined definition denote difference polynomial direct summands directed set dual ideals effective order elements equivalent exists extension field filter F finite number following theorem function f g₁ given Hausdorff space Hence homeomorphic ideal in C(X implies infinite integral intersection irreducible isomorphic Jordan algebra K₁ lattice Lemma linear mapping Math maximal ideal neighborhood obtain open set plane prime ideal prove Q-space quadric result rings C(X satisfies Schreier system subalgebra subideal subset Suppose surface tion topological space topology transform ultrafilters uniform space uniform structure uniformizable unique values y₁ zero